Complex Interpolation of Morrey Spaces

@inproceedings{Hakim2017ComplexIO,
  title={Complex Interpolation of Morrey Spaces},
  author={Denny Ivanal Hakim and Yoshihiro Sawano},
  year={2017}
}
In this article, we extend the previous results on the complex interpolation of Morrey spaces to the case when \(0<q \le p<\infty \). We show that the space produced by the first complex interpolation functor \([{\mathcal M}^{p_0}_{q_0},{\mathcal M}^{p_1}_{q_1}]_\theta \) is a subset of the Morrey space \({\mathcal M}^p_q\) and it contains some closed subspaces of \({\mathcal M}^p_q\). Meanwhile, we prove that Morrey spaces are closed under the second complex interpolation functor. We also… CONTINUE READING
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